ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION

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Global Attractors for Mindlin–Timoshenko Plates and for Their Kirchhoff Limits (2006, background): “from [17, Chap.6] (see also Theorem 7.1 in [ 3 ] and Chap.1 in [6] for more general situations) which asserts (i) existence of local (in time) solutions defined in H ≡ D(A 1/2 κ ) ×H and also (ii) existence of local (in time) strong solutions in D(Aκ) × D(A 1/2 κ ). Thus, in order to complete the pr”
On a wave equation with supercritical interior and boundary sources and damping terms (2011, background): “, see Barbu [5], [22], and the Appendix in [15] which shows how to extend the proof from globally Lipschitz to locally Lipschitz sources).”
Long-time Behavior of Second Order Evolution Equations With Nonlinear Damping (2008, background): “3 in [20] (see also [80]).”
Long-time dynamics of von Karman semi-flows with non-linear boundary/interior damping (2007, background): “Attractors and their structure, in the context of wave equation with non-linear boundary damping, were studied in [10,11].”
Convexity and Weighted Integral Inequalities for Energy Decay Rates of Nonlinear Dissipative Hyperbolic Systems (2005, background): “[29], [15], [9], [23] and [5] for stabilization results for semilinear equations.”